SOLUTION: The difference of the squares of two positive consecutive even integers is 92. Find the integers. Use the fact​ that, if x represents an even​ integer, then x+2 represe

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The difference of the squares of two positive consecutive even integers is 92. Find the integers. Use the fact​ that, if x represents an even​ integer, then x+2 represe      Log On


   

Question 1033378: The difference of the squares of two positive consecutive even integers is 92. Find the integers. Use the fact​ that, if x represents an even​ integer, then x+2 represents the next consecutive even integer.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B2%29%5E2-x%5E2=92

x%5E2%2B4x%2B4-x%5E2=92
4x%2B4=92
4x=88
x=22

The other integer is 24.